Kostrova K. The Development of the Method and Algorithms of the Interpolation based on the Self-Similar Multitudes

The object of the research - the processing of the unordered experimental data got by natural processes; the subject of the research - the method of the interpolation based on self-similar maps; the methods of the research - methods of the functional analyses, numerical methods, the theory of algorithms; the purpose of the research - the development of mathematical background, algorithms, methodic and software for the interpolation based on self-similar multitudes; the theoretical and practical achievements - the method and algorithms of the interpolation based on self-similar multitudes are proposed. They are valid in the 2-dimension Euclidean metric space and can be used to interpolate smooth, non-smooth and nowhere-differentiated functions; the newness of the results is corroborated by the author rights certificate (Ukraine); the degree of the application of the achievements is laid in the desired area; the area of the use - data-processing systems, automatic control systems; information-measurement systems.